Let, Number of Hours in Library = x
Number of Hours in babysitting = y
Inequality would be: x + y = 30 ;
& 8x + 6y ≥ 200
b) Solving: Multiply first equation by 6,
6x + 6y ≥ 180
Subtract it from 2nd equation,
2x ≥ 20
x ≥ 10
Now, substitute it in 1st equation,
10 + y = 30
y = 20
Your Answer would be (10, 20)
x - value is lesser or equal to 10, so it would move to left (decreasing direction)!
Hope this helps!
Answer:
2x^4-11x^3+68x-80
2x^4-4x^3-7x^3+14x^2-14x^2+28x+40x-80
2x^3(x-2)-7x^2(x-2)-14x(x-2)+40(x-2)
(x-2)(2x^3-7x^2-14x+40)
(x-2)(2x^3-4x^2-3x^2+6x-20x+40)
(x-2)(2x^2(x-2)-3x(x-2)-20(x-2))
(x-2)(x-2)(2x^3-3x-20)
(x-2)(x-2)(2x^2+5x-8x-20)
(x-2)(x-2)(x(2x+5)-4(2x+5))
(x-2)(x-2)(2x+5)(x-4)
(x-2)^2(2x+5)(x-4)
Answer:
`Part A:
D. 3/4(18 + s) = 31.50
Part B:
$36
Step-by-step explanation:
I think 34 is 3/4, is that right?
here, s is the cost of the skirt
Part A: The answer would be:
3/4(18) + 3/4(s) = 31.5 =
3/4(18 + s) = 31.5
Part B: 3/4(18) + 3/4(s) = 31.5
4.5 + 3/4s = 31.5
Subtract 4.5 from both sides:
3/4s = 27, 27 is the cost of the skirt now, but we need the original price.
multiply both sides by 4/3:
s = 36
Answer:
The both on the right are the correct answers
Step-by-step explanation:
This is because rotational symmetry is defined as the property a shape has when it looks the same after some rotation by partial turns.
<h3>
Therefore they are perpendicular.</h3>
Step-by-step explanation:
A equation of line is
y =mx +c
Here the slope of the line is m.
Given equations are
x - 2y = 18
⇔-2y = -x +18
............(1)
and 2x + y = 6
⇔y = -2x +6 ............(2)
Therefore the slope of equation (1) is
= 
Therefore the slope of equation (2) is
= -2
If two lines are perpendicular, when we multiply their slope we get -1.
therefore,
=. (-2) = -1
Therefore they are perpendicular.
